Finding the Third Proportional to 8,243 and 10,825

Step by Step Solution

1. Step 1: Write the proportion equation
   8,243 : 10,825 = 10,825 : x
2. Step 2: Convert to fraction form
   8,243/10,825 = 10,825/x
3. Step 3: Cross multiply
   8,243x = 10,825 × 10,825
4. Step 4: Simplify right side
   8,243x = 117,180,625
5. Step 5: Solve for x
   x = 117,180,625/8,243
6. Step 6: Final answer
   x = 14,215.77